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Plz can someone help I have tried this question so many times. Thanks

Plz Can Someone Help I Have Tried This Question So Many Times Thanks class=

Sagot :

konrad509
[tex]\frac{3}{x-2}+\frac{x}{x+1}=2\\ x\not=2 \wedge x\not=-1\\ 3(x+1)+x(x-2)=2(x-2)(x+1)\\ 3x+3+x^2-2x=2(x^2+x-2x-2)\\ x^2+x+3=2x^2-2x-4\\ x^2-3x-7=0\\ \Delta=(-3)^2-4\cdot1\cdot(-7)=9+28=37\\ x_1=\frac{-(-3)-\sqrt{37}}{2\cdot1}=\frac{3-\sqrt{37}}{2}\\ x_2=\frac{-(-3)+\sqrt{37}}{2\cdot1}=\frac{3+\sqrt{37}}{2}\\ [/tex]
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